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21445534350054 = 235433593285611
BaseRepresentation
bin1001110000001001011010…
…11101001111101011100110
32210221011200011100221200000
410320010231131033223212
510302330423243200204
6113335535324002130
74342250222201043
oct470045535175346
983834604327600
1021445534350054
116919000069491
1224a4356090346
13bc73c771cab9
14541d800701ca
15272caa7d5039
hex13812d74fae6

21445534350054 has 96 divisors (see below), whose sum is σ = 49320768841344. Its totient is φ = 6980299260480.

The previous prime is 21445534350043. The next prime is 21445534350083. The reversal of 21445534350054 is 45005343554412.

21445534350054 is a `hidden beast` number, since 2 + 1 + 4 + 4 + 5 + 53 + 43 + 500 + 54 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 21445534349991 and 21445534350009.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74943709 + ... + 75229319.

It is an arithmetic number, because the mean of its divisors is an integer number (513758008764).

Almost surely, 221445534350054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21445534350054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24660384420672).

21445534350054 is an abundant number, since it is smaller than the sum of its proper divisors (27875234491290).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21445534350054 is a wasteful number, since it uses less digits than its factorization.

21445534350054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289264 (or 289252 counting only the distinct ones).

The product of its (nonzero) digits is 2880000, while the sum is 45.

The spelling of 21445534350054 in words is "twenty-one trillion, four hundred forty-five billion, five hundred thirty-four million, three hundred fifty thousand, fifty-four".

Divisors: 1 2 3 6 9 18 27 43 54 81 86 129 162 243 258 387 486 774 1161 2322 3483 3593 6966 7186 10449 10779 20898 21558 32337 64674 97011 154499 194022 285611 291033 308998 463497 571222 582066 856833 873099 926994 1390491 1713666 1746198 2570499 2780982 4171473 5140998 7711497 8342946 12281273 12514419 15422994 23134491 24562546 25028838 36843819 37543257 46268982 69403473 73687638 75086514 110531457 138806946 221062914 331594371 663188742 994783113 1026200323 1989566226 2052400646 2984349339 3078600969 5968698678 6157201938 9235802907 18471605814 27707408721 44126613889 55414817442 83122226163 88253227778 132379841667 166244452326 249366678489 264759683334 397139525001 498733356978 794279050002 1191418575003 2382837150006 3574255725009 7148511450018 10722767175027 21445534350054